Question

How do you simplify `(x^2+4x+4)/(x^2-4)`?

Answer 1

The answer is `(x+2)/(x-2)`

Explanation:

First, you need to get the factors of the numerator and the denominator.

`(x^2+4x+4)/(x^2-4)`

`[(x+2)(x+2)]/[(x+2)(x-2)]`

Since x+2 is divisible by x+2, they will be cancelled.

And the answer is: `(x+2)/(x-2)`